Existence of dark solitons for Kundu–Eckhaus equations

IF 2.7 3区数学 Q1 MATHEMATICS, APPLIED

Physica D: Nonlinear Phenomena Pub Date : 2025-02-01 DOI:10.1016/j.physd.2025.134522

Ling Pan, Shihui Zhu

引用次数: 0

Abstract

This paper focuses on dark solitons and periodic solitary wave solutions for Kundu–Eckhaus equations without and with a strong generic delay, respectively. First, in terms of the dynamic system arguments, new dark solitons and periodic solitary wave solutions for the Kundu–Eckhaus equation without delay are obtained by integrating along different orbits. Then, the limits and modulation stability of the solutions of the Kundu–Eckhaus equation are investigated. Finally, the existence of two dark solitons and two periodic solitary wave solutions for Kundu–Eckhaus equations with a strong generic delays is proven via geometric singular perturbation theory.

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来源期刊

Physica D: Nonlinear Phenomena 物理-物理：数学物理

CiteScore

7.30

自引率

7.50%

发文量

213

审稿时长

65 days

期刊介绍： Physica D (Nonlinear Phenomena) publishes research and review articles reporting on experimental and theoretical works, techniques and ideas that advance the understanding of nonlinear phenomena. Topics encompass wave motion in physical, chemical and biological systems; physical or biological phenomena governed by nonlinear field equations, including hydrodynamics and turbulence; pattern formation and cooperative phenomena; instability, bifurcations, chaos, and space-time disorder; integrable/Hamiltonian systems; asymptotic analysis and, more generally, mathematical methods for nonlinear systems.